Exercise on Finding the Designated Shell : Solutions

Question 1: What is the designation for the subshell with n = 5 and l = 3?

Solution:

n = 5 means the shell number

l = 3 means the f sub-shell

Hence the designation for the subshell is 5f

Question 2: How many orbitals are in this subshell?

Solution:
Since l = 3, therefore, # orbitals = (2l + 1) = 7 orbitals

Question 3: Indicate the values of ml for each of these orbitals.

Solution:
Since # orbitals = 7 therefore, their m_l values (indicated by +l, 0, − l ) are +3, +2, +1, 0, − 1, − 2, − 3

Question 4: How are these shells, sub-shells and orbitals arranged in an atom?

Solution:
Orbital energy levels in the H atom See figure below

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Date of last modification: Summer , 2019